On Gilles Pisier's approach to gaussian concentration, isoperimetry and Poincar\'e-type inequalities
Abstract
We discuss a natural extension of Gilles Pisier's approach to the study of measure concentration, isoperimetry and Poincar\'e-type inequalities. This approach allows one to explore counterparts of various results about Gaussian measure in the class of rotationally invariant probability distribution on Euclidean spaces, including multidimensional Cauchy measures.
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